Results 31 to 40 of about 142 (134)
Journal of Physics A: Mathematical and Theoretical, 2009 It is shown that nodal sequences determine the underlying manifold up to scaling within classes of rectangles with Dirichlet boundary conditions, separable two dimensional tori, two-dimensional flat Klein bottles and flat tori in two and three dimensions.
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Inverse nodal and inverse spectral problems for discontinuous boundary value problems
Journal of Mathematical Analysis and Applications, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shieh, Chung-tsun, Yurko, V. A.
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On the inverse nodal problems for discontinuous Sturm–Liouville operators
Journal of Differential Equations, 2016 Recently, a new class of inverse problem so-called inverse nodal problems has attracted the attention of researchers. Inverse nodal problems, in turn, consist in constructing operators from given zeros of their eigenfunctions. In this paper, the authors consider an inverse nodal problem for Sturm Liouville operator with jump condition at the point \(x ...
Wang, Yu Ping, Yurko, V. A.
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Cumhuriyet Science Journal, 2019 In this work, we study the inverse nodal problemfor Dirac type integro-differential operator with the boundary conditionsdependent spectral parameter polynomially.
Baki Keskin, Hediye Dilara Tel
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Inverse problems: Dense nodal subset on an interior subinterval
Journal of Differential Equations, 2013 The authors consider the inverse nodal problem for the Sturm-Liouville equations defined on the interval \([0,1]\) with separated boundary conditions. They prove that a twin dense subset of the nodal set in an interior subinterval uniquely determines the potential on the whole interval and the boundary condition parameters.
Guo, Yongxia, Wei, Guangsheng
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Physics‐Informed Neural Network‐Enabled Forward Prediction and Inverse Design of Ring Origami
Advanced Science, EarlyView.This work presents a KRT‐PINN framework that integrates Kirchhoff rod theory with physics‐informed neural networks for the forward prediction and inverse design of ring origami consisting of closed‐loop rods. The framework predicts stable states of segmented rings with prescribed natural‐curvature profiles and determines the natural‐curvature profiles ...
Luyuan Ning +3 more
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Super‐Resolution and High‐Data‐Density Acoustic Meta‐Hologram via Amplitude and Phase Coupling
Advanced Science, EarlyView.A super‐resolution acoustic meta‐hologram utilizes amplitude‐phase coupling under energy conservation constraints to overcome the traditional diffraction limit. This conceptually advanced approach achieves high‐fidelity acoustic field reconstruction and dense information transmission, unlocking new potentials for high‐resolution acoustic imaging and ...
Xiao Guo +15 more
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Advanced Science, EarlyView.In situ mechanical loading of osteoarthritis‐prone murine knee joints reveals that spatial alterations in subchondral plate microarchitecture precede cartilage loss and promote a shift from coordinated epiphyseal strain dissipation in healthy joints to focal subchondral strain concentration in osteoarthritis‐prone joints.
Aikta Sharma +10 more
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Solution Approaches to the Dynamic, Population Balance Modeling of Grinding with Transport
KONA Powder and Particle Journal, 2014 The solution of the dynamic population balance model (PBM) with transport is problematic. The fact that the dynamic PBM model equation solution to the Inverse Problem for grinding systems is degenerate or ...
M. C. Williams, T. P. Meloy, M. Tarshan
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